ﺑﻪ ﻧﺎﻡ ﺧﺪﺍ ﭘﺮﻭﮊﻩ ﺩﺭﺱ ﻣﺒﺎﻧﯽ ﺑﺮﻧﺎﻣﻪ ﺳﺎﺯﯼ ﺍﺳﺘﺎﺩ ﺭﻳﻮﺍﺩﻩ ﺗﺮﻡ ﭘﺎﻳﻴﺰ 9495 ﮐﻠﻴﺖ ﭘﺮﻭﮊﻩ ﺑﺪﻳﻦ ﺷﮑﻞ ﺍﺳﺖ ﮐﻪ ﺑﺎﻳﺪ ﺑﺮﻧﺎﻣﻪ ﺍﯼ ﺑﻨﻮﻳﺴﻴﺪ ﻛﻪ ﻧﺎﻡ ﻳﺎ ﺁﺩﺭﺱ ﻳﻚ ﻓﺎﻳﻞ ﺗﺼﻮﻳﺮﯼ ﺑﺎ ﭘﺴﻮﻧﺪ ﻣﺸﺨﺺ ﻣﺎﻧﻨﺪ BMP ﺭﺍ ﺍﺯ ﻛﺎﺭﺑﺮ ﺑﭙﺮﺳﺪ ﻭ ﺗﻌﻴﻴﻦ ﻛﻨﺪ ﻛﻪ ﺁﻳﺎ ﺩﺭ ﺍﻳﻦ ﺗﺼﻮﻳﺮ ،ﭼﻬﺮﻩ ﺍﯼ ﻭﺟﻮﺩ ﺩﺍﺭﺩ ﻳﺎ ﺧﻴﺮ . ﺩﺭ ﺻﻮﺭﺕ ﻣﺜﺒﺖ ﺑﻮﺩﻥ ﺟﻮﺍﺏ ،ﻣﻜﺎﻥ ﺗﻘﺮﻳﺒﯽ ﭼﻬﺮﻩ ﻫﺎ ﺭﺍ ﺗﻌﻴﻴﻦ ﻛﻨﺪ . ﺑﺮﺍﯼ ﺍﻳﻦ ﻣﻨﻈﻮﺭ ﺑﺎﻳﺪ ﺍﺯ ﺍﻟﮕﻮﺭﻳﺘﻢ ﻫﺎﯼ ﺗﺸﺨﻴﺺ ﭼﻬﺮﻩ ﺍﺳﺘﻔﺎﺩﻩ ﻛﻨﻴﺪ .ﻳﻚ ﺍﻟﮕﻮﺭﻳﺘﻢ ﺳﺎﺩﻩ ﺑﺮﺍﯼ ﺍﻳﻦ ﻛﺎﺭ ﺩﺭ ﺍﺩﺍﻣﻪ ﺗﻮﺿﻴﺢ ﺩﺍﺩﻩ ﻣﻴﺸﻮﺩ .ﺍﻟﺒﺘﻪ ﺷﻤﺎ ﻣﻴﺘﻮﺍﻧﻴﺪ ﺍﺯ ﻫﺮ ﺍﻟﮕﻮﺭﻳﺘﻢ ﺩﻳﮕﺮﯼ ﻧﻴﺰ ﺍﺳﺘﻔﺎﺩﻩ ﻛﻨﻴﺪ .ﺍﻣﺎ ﺑﺮﺍﯼ ﺳﺎﺩﮔﯽ ، ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ ﺍﻳﻦ ﺍﻟﮕﻮﺭﻳﺘﻢ ﭘﻴﺸﻨﻬﺎﺩ ﻣﻴﺸﻮﺩ .ﻛﺎﻓﯽ ﺍﺳﺖ ﻣﺮﺍﺣﻞ ﺗﻮﺿﻴﺢ ﺩﺍﺩﻩ ﺷﺪﻩ ﺭﺍ ﻗﺪﻡ ﺑﻪ ﻗﺪﻡ ﺍﻧﺠﺎﻡ ﺩﻫﻴﺪ ﺗﺎ ﺷﻤﺎ ﻫﻢ ﺑﺘﻮﺍﻧﻴﺪ ﻳﻚ ﺑﺮﻧﺎﻣﻪ ﺗﺸﺨﻴﺺ ﭼﻬﺮﻩ ﺩﺍﺷﺘﻪ ﺑﺎﺷﻴﺪ! ﺑﺮﺍﯼ ﺍﻧﺠﺎﻡ ﭘﺮﻭﮊﻩ ﺑﻪ ﻧﮑﺎﺕ ﺯﻳﺮ ﺩﻗﺖ ﮐﻨﻴﺪ : 1ﭘﺮﻭﮊﻩ ﺑﺎﻳﺪ ﺩﺭ ﮔﺮﻭﻩ ﻫﺎﯼ ﻳﮏ ﻳﺎ ﺩﻭ ﻧﻔﺮﻩ ﺍﻧﺠﺎﻡ ﺷﻮﺩ . 2ﺩﺭ ﺻﻮﺭﺕ ﺍﻧﺠﺎﻡ ﺑﻪ ﺷﮑﻞ ﮔﺮﻭﻫﯽ ،ﻫﺮ ﺩﻭ ﻧﻔﺮ ﺑﺎﻳﺪ ﺑﺮ ﺗﻤﺎﻣﯽ ﺑﺮﻧﺎﻣﻪ ﻣﺴﻠﻂ ﺑﺎﺷﻨﺪ ﻭ ﻫﺮ ﻳﮏ ﺗﻘﺮﻳﺒﺎ ﻧﻴﻤﯽ ﺍﺯ ﮐﺎﺭ ﺭﺍ ﻋﻬﺪﻩ ﺩﺍﺭ ﺑﻮﺩﻩ ﺑﺎﺷﻨﺪ . 3ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ ﮐﺘﺎﺏ ﺧﺎﻧﻪ ﻫﺎﻳﯽ ﮐﻪ ﺩﻗﻴﻘﺎ ﻣﺮﺑﻮﻁ ﺑﻪ ﺧﻮﺍﻧﺪﻥ ﻓﺮﻣﺖ ﻋﮑﺲ ﻫﺎﯼ ﻣﺨﺘﻠﻒ ﻳﺎ ﺧﻮﺩ ﺗﺸﺨﻴﺺ ﭼﻬﺮﻩ ﺑﺎﺷﻨﺪ ،ﻣﻤﻨﻮﻉ ﺍﺳﺖ .ﻣﺜﻼ include Detect_Faces_in_this_pic_plz 4ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ ﺑﺮﻧﺎﻣﻪ ﻫﺎﯼ ﺩﻳﮕﺮ ﮔﺮﻭﻩ ﻫﺎ ﺑﻪ ﻫﺮ ﺷﮑﻠﯽ ﻣﻤﻨﻮﻉ ﺍﺳﺖ . 5ﭘﺮﻭﮊﻩ ﺑﺴﻴﺎﺭ ﺁﺳﺎﻥ ﺍﺳﺖ ﻭ ﺑﺎ ﮔﺬﺍﺷﺘﻦ ﻭﻗﺖ ﻻﺯﻡ ﻣﻴﺘﻮﺍﻧﻴﺪ ﻧﻤﺮﻩ ﺧﻮﺑﯽ ﺍﺯ ﺁﻥ ﮐﺴﺐ ﮐﻨﻴﺪ! 6ﺗﻤﺎﻡ ﻓﺎﻳﻞ ﻫﺎﯼ ﻣﺮﺑﻮﻁ ﺑﻪ ﭘﺮﻭﮊﻩ ﺭﺍ zip ﮐﺮﺩﻩ ﻭ ﺗﺎ 18 ﺁﺫﺭ ﻣﺎﻩ ﺩﺭ ﺳﺎﻳﺖ quera ﺑﺎ ﻋﻨﻮﺍﻥ Std1ID_Std2ID_Phase1ﺑﺎﺭﮔﺬﺍﺭﯼ ﮐﻨﻴﺪ . 1 ﺗﻮﺿﻴﺢ ﻓﺎﺯ ﺍﻭﻝ ﻫﺮ ﻓﺎﻳﻞ ،BMP ﻳﻚ ﻓﺎﻳﻞ ﺑﺎﻳﻨﺮﯼ ﻣﺤﺴﻮﺏ ﻣﻴﺸﻮﺩ ﻛﻪ ﺍﻃﻼﻋﺎﺕ ﻣﺮﺑﻮﻁ ﺑﻪ ﺗﺼﻮﻳﺮ ،ﺑﻪ ﺻﻮﺭﺕ ﺗﻌﺪﺍﺩﯼ ﻋﺪﺩ ﺻﺤﻴﺢ ﺩﺭ ﺁﻥ ﻗﺮﺍﺭ ﺩﺍﺭﺩ .ﻛﺎﻓﯽ ﺍﺳﺖ ﺑﺪﺍﻧﻴﺪ ﻛﻪ ﻫﺮ ﻋﺪﺩ ﺩﺭ ﻓﺎﻳﻞ ﺑﺎﻳﻨﺮﯼ BMP ﺑﻪ ﭼﻪ ﻣﻌﻨﺎﺳﺖ .ﺍﻟﮕﻮﯼ ﻓﺎﻳﻞ ﻫﺎﯼ BMP ﺭﺍ ﻣﻴﺘﻮﺍﻧﻴﺪ ﺑﻪ ﺭﺍﺣﺘﯽ ﺑﺎ ﻳﮏ ﺟﺴﺘﺠﻮ ﺩﺭ ﺍﻳﻨﺘﺮﻧﺖ ﺑﻴﺎﺑﻴﺪ . 1ﺩﺭ ﺩﻧﻴﺎﯼ ﻛﺎﻣﭙﻴﻮﺗﺮ ،ﺑﺮﺍﯼ ﺑﻴﺎﻥ ﻛﺮﺩﻥ ﺭﻧﮕﻬﺎ ﺍﺯ ﭼﻨﺪ ﺳﻴﺴﺘﻢ ﻣﺨﺘﻠﻒ ﺍﺳﺘﻔﺎﺩﻩ ﻣﻴﺸﻮﺩ .ﻣﻌﺮﻭﻓﺘﺮﻳﻦ ﺁﻧﻬﺎ ﺳﻴﺴﺘﻢ RGB ﺍﺳﺖ .ﺩﺭ ﺍﻳﻦ ﺳﻴﺴﺘﻢ ، ﺭﻧﮓ ﻫﺮ ﻧﻘﻄﻪ ﺑﺎ ﺳﻪ ﻋﺪﺩ ﻳﻚ ﺑﺎﻳﺘﯽ) ﺳﻪ ﻋﺪﺩ ﺍﺯ 0 ﺗﺎ (255 ﻣﺸﺨﺺ ﻣﻴﺸﻮﺩ .ﺍﻳﻦ ﺳﻪ ﻋﺪﺩ ﺑﻪ ﺗﺮﺗﻴﺐ ﺑﻴﺎﻥ ﻛﻨﻨﺪﻩ ﺷﺪﺕ ﺭﻧﮓ ﻗﺮﻣﺰ ،ﺳﺒﺰ ﻭ ﺁﺑﯽ ﺩﺭ ﺗﺸﻜﻴﻞ ﺭﻧﮓ ﻧﻬﺎﻳﯽ ﺍﺳﺖ .ﻣﺜﻼ ﺳﻪ ﺗﺎﻳﯽ (150,0,130) ﻧﺸﺎﻧﮕﺮ ﺭﻧﮕﯽ ﺍﺳﺖ ﻛﻪ ﺩﺭ ﺁﻥ ﺍﺛﺮﯼ ﺍﺯ ﺳﺒﺰ ﻭﺟﻮﺩ ﻧﺪﺍﺭﺩ ﻭ ﺗﺮﻛﻴﺒﯽ ﺍﺯ ﻗﺮﻣﺰ ﻭ ﺁﺑﯽ ﺑﺎ ﻧﺴﺒﺖ ﻣﺸﺨﺺ ﺍﺳﺖ ﻛﻪ ﺍﺣﺘﻤﺎﻻ ﭼﻴﺰﯼ ﺷﺒﻴﻪ ﺑﻪ ﺑﻨﻔﺶ ﺧﻮﺍﻫﺪ ﺑﻮﺩ . ﺗﺼﺎﻭﻳﺮ ﺳﻤﺖ ﭼﭗ ،ﻫﺮﮐﺪﺍﻡ ﺑﻪ ﺗﻔﮑﻴﮏ ،ﺷﺪﺕ ﺭﻧﮓ ﻫﺎﯼ ﻗﺮﻣﺰ ،ﺁﺑﯽ ﻭ ﺳﺒﺰ ﺭﺍ ﮐﻪ ﻧﻬﺎﻳﺘﺎ ﺗﺼﻮﻳﺮ ﺳﻤﺖ ﺭﺍﺳﺖ ﺭﺍ ﻣﯽ ﺳﺎﺯﺩ ،ﻧﺸﺎﻥ ﻣﯽ ﺩﻫﺪ . ﺍﺳﺘﻔﺎﺩﻩ ﮐﻨﻴﺪ . 1ﻣﯽ ﺗﻮﺍﻧﻴﺪ ﺍﺯ ﻟﻴﻨﮏhttps://en.wikipedia.org/wiki/BMP_file_format 2 ﺍﺳﺘﻔﺎﺩﻩ ﺍﺯ ﺩﻭ ﺳﻴﺴﺘﻢ ﺩﻳﮕﺮ ﺑﻴﺎﻥ ﺭﻧﮕﻬﺎ ﻧﻴﺰ ﺑﺮﺍﯼ ﺍﻧﺠﺎﻡ ﭘﺮﻭﮊﻩ ﺍﻟﺰﺍﻣﻴﺴﺖ .ﻳﻜﯽ ﻧﺮﻣﺎﻻﻳﺰ ﺷﺪﻩ RGB ﺍﺳﺖ ) Normalized RGBﻳﺎ ﻫﻤﺎﻥ (rg ﮐﻪ ﺩﺭ ﺍﻳﻦ ﺳﻴﺴﺘﻢ ﺗﻮﺟﻪ ﺑﻴﺸﺘﺮ ﺑﻪ ﻧﺴﺒﺖ ﺍﺩﻏﺎﻡ ﺭﻧﮕﻬﺎﺳﺖ ﺗﺎ ﺷﺪﺕ ﻫﺮ ﻳﮏ .ﻭ ﺩﻳﮕﺮﯼ) HSL ﺑﻪ ﻣﻌﻨﺎﯼ ﺭﻧﮓ ،ﺍﺷﺒﺎﻉ ﻭ ﺭﻭﺷﻨﺎﻳﯽ .(Hue, Saturation & Light ﺳﻤﺖ ﭼﭗ ﻋﮑﺴﯽ ﺑﺎ ﺳﻴﺴﺘﻢ RGB ﻭ ﺳﻤﺖ ﺭﺍﺳﺖ ﻫﻤﺎﻥ ﻋﮑﺲ ﺩﺭ ﺳﻴﺴﺘﻢ rg ﻧﺸﺎﻥ ﺩﺍﺩﻩ ﺷﺪﻩ . ﭼﮕﻮﻧﮕﯽ ﺗﺒﺪﻳﻞ RGB ﺑﻪ rg ﻭ ﺑﻪ HSL ﺩﺭ ﺍﻳﻨﺘﺮﻧﺖ ﺑﻪ ﺭﺍﺣﺘﯽ ﻗﺎﺑﻞ ﺩﺳﺘﺮﺳﻴﺴﺖ 2 . ﺍﻟﮕﻮﺭﻳﺘﻢ ﺗﺸﺨﻴﺺ ﭼﻬﺮﻩ ﺑﺪﻳﻦ ﺗﺮﺗﻴﺐ ﺍﺳﺖ ﻛﻪ ﺷﻤﺎ ﺑﺎﻳﺪ ﺗﻤﺎﻡ ﻧﻘﻄﻪ ﻫﺎﯼ ﻣﻮﺟﻮﺩ ﺩﺭ ﺗﺼﻮﻳﺮ ﺭﺍ ﺑﺮﺭﺳﯽ ﻛﻨﻴﺪ ﻭ ﻧﻘﻄﻪ ﻫﺎﻳﯽ ﺭﺍ ﻛﻪ ﻣﻴﺘﻮﺍﻧﻨﺪ ﺗﺼﻮﻳﺮ ﭼﻬﺮﻩ ﺑﺎﺷﻨﺪ ﺭﺍ ﻣﺸﺨﺺ ﻛﻨﻴﺪ .ﺍﻳﻦ ﻛﺎﺭ ﺩﺭ ﻳﻚ ﻓﺮﺁﻳﻨﺪ ﭼﻨﺪ ﻣﺮﺣﻠﻪ ﺍﯼ ﺍﻧﺠﺎﻡ ﻣﻴﺸﻮﺩ ﻭ ﻫﺮ ﺑﺎﺭ ﺑﺮ ﺍﺳﺎﺱ ﺑﺮﺧﯽ ﻣﻌﻴﺎﺭﻫﺎ ،ﺷﻤﺎ ﺗﻌﺪﺍﺩﯼ ﺍﺯ ﭘﻴﻜﺴﻠﻬﺎﯼ ﺯﺍﺋﺪ ﺭﺍ ﻛﻨﺎﺭ ﻣﻴﮕﺬﺍﺭﻳﺪ ﺗﺎ ﺩﺭ ﻧﻬﺎﻳﺖ ﻓﻘﻂ ﻧﻘﻄﻪ ﻫﺎﻳﯽ ﺑﺎﻗﯽ ﺑﻤﺎﻧﻨﺪ ﻛﻪ ﻧﺸﺎﻧﮕﺮ ﻳﻚ ﭼﻬﺮﻩ ﻫﺴﺘﻨﺪ . ﻭ ﺑﺮﺍﯼ ﺁﺷﻨﺎﻳﯽ ﺑﺎ ﺳﻴﺴﺘﻢ HSL ﻣﯽ ﺗﻮﺍﻧﻴﺪ 2ﺑﺮﺍﯼ ﺁﺷﻨﺎﻳﯽ ﺑﺎ ﺳﻴﺴﺘﻢ rg ﻣﯽ ﺗﻮﺍﻧﻴﺪ ﺍﺯ ﻟﻴﻨﮏhttps://en.wikipedia.org/wiki/Rg_chromaticity ﺍﺳﺘﻔﺎﺩﻩ ﮐﻨﻴﺪ . ﺍﺯhttps://en.wikipedia.org/wiki/HSL_and_HSV 3 ﻣﺮﺍﺣﻞ ﺍﻧﺠﺎﻡ ﻓﺎﺯ ﺍﻭﻝ ﭘﺮﻭﮊﻩ 1ﻧﺎﻡ/ﺁﺩﺭﺱ ﻓﺎﻳﻞ BMP ﺭﺍ ﺍﺯ ﻛﺎﺭﺑﺮ ﺑﭙﺮﺳﻴﺪ) .ﺑﺨﺶ ﺍﻣﺘﻴﺎﺯﯼ :ﭘﺸﺘﻴﺒﺎﻧﯽ ﮐﺮﺩﻥ ﺑﺮﻧﺎﻣﻪ ﺍﺯ ﻓﺮﻣﺖ ﻫﺎﯼ JPEGﻭ ( 3.PNG 2ﺍﻃﻼﻋﺎﺕ ﻣﺮﺑﻮﻃﻪ ﺭﺍ ﺍﺯ ﻓﺎﻳﻞ ﺍﺳﺘﺨﺮﺍﺝ ﻛﻨﻴﺪ) ﺑﺎ ﺗﻮﺟﻪ ﺑﻪ ﻧﺤﻮﻩ ﺫﺧﻴﺮﻩ ﺳﺎﺯﯼ ﺁﻧﻬﺎ( ﺗﺎ ﺭﻧﮓ ﺗﻤﺎﻡ ﻧﻘﺎﻁ ﻣﻌﻠﻮﻡ ﺷﻮﺩ . 3ﺭﻧﮓ ﻫﺮ ﻧﻘﻄﻪ ﺭﺍ ﺑﻪ ﺳﻴﺴﺘﻢ HSL ﻭ rg ﺗﺒﺪﻳﻞ ﻛﻨﻴﺪ . 4ﻫﺮ ﻧﻘﻄﻪ ﺭﺍ ﺑﺮ ﺍﺳﺎﺱ ﻓﺮﻣﻮﻝ ﻫﺎﯼ ﺯﻳﺮﺑﺮﺭﺳﯽ ﻛﻨﻴﺪ .ﺍﺑﺘﺪﺍ ﺑﺮﺭﺳﯽ ﮐﻨﻴﺪ H ﺍﺯ ﺳﻴﺴﺘﻢ ،HSL ﺑﺎﻳﺪ ﻳﺎ ﮐﻤﺘﺮ ﺍﺯ 20 ﺑﺎﺷﺪ ﻳﺎ ﺑﻴﺸﺘﺮﻣﺴﺎﻭﯼ 239ﺗﺎ ﺑﺘﻮﺍﻧﺪ ﺭﻧﮓ ﭘﻮﺳﺖ ﺑﺎﺷﺪ . 2 f 1(r) = − 1.376 r + 1.0743 r + 0.2 f 2(r) = − 0.776 r2 + 0.5601 r + 0.18 w = (r − 0.33)2 + (g − 0.33)2 4 ﺩﺭ ﺻﻮﺭﺕ f 1 > g > f 2 ﻭ) w > ? ﮐﻪ ﻳﺎﻓﺘﻦ ؟ ﺑﻪ ﻋﻬﺪﻩ ﺷﻤﺎﺳﺖ! ( ،ﺭﻧﮓ ﻧﻘﻄﻪ ﻣﻮﺭﺩ ﻧﻈﺮ ﻣﻴﺘﻮﺍﻧﺪ ﻣﺮﺑﻮﻁ ﺑﻪ ﺭﻧﮓ ﭘﻮﺳﺖ ﺑﺎﺷﺪ . 5ﻳﻚ ﺗﺼﻮﻳﺮ ﺳﻴﺎﻩ ﻭ ﺳﻔﻴﺪ ﺭﺳﻢ ﻛﻨﻴﺪ ﻛﻪ ﺩﺭ ﺁﻥ ﻧﻘﻄﻪ ﻫﺎﯼ ﻧﺎﻣﺮﺗﺒﻂ ﻫﻤﮕﯽ ﺑﻪ ﺭﻧﮓ ﺳﻴﺎﻩ ﺑﺎﺷﻨﺪ ﻭ ﻧﻘﻄﻪ ﻫﺎﻳﯽ ﻛﻪ ﺍﺣﺘﻤﺎﻻ ﻧﺸﺎﻧﮕﺮ ﻳﻚ ﭼﻬﺮﻩ ﻫﺴﺘﻨﺪ ﺑﻪ ﺭﻧﮓ ﺳﻔﻴﺪ ﻧﻤﺎﻳﺶ ﺩﺍﺩﻩ ﺷﻮﺩ . ﺗﺎ ﺍﻳﻨﺠﺎ ﻓﺎﺯ ﺍﻭﻝ ﭘﺮﻭﮊﻩ ﺗﻤﺎﻡ ﺷﺪﻩ .ﺩﺭ ﻓﺎﺯ ﺩﻭﻡ ﺑﺎﻳﺪ ﺍﺯ ﻣﻴﺎﻥ ﻧﻘﺎﻃﯽ ﮐﻪ ﺑﻪ ﻋﻨﻮﺍﻥ ﺭﻧﮓ ﭘﻮﺳﺖ ﺗﺸﺨﻴﺺ ﺩﺍﺩﻳﺪ ، ﺑﺎ ﺍﻟﮕﻮﺭﻳﺘﻢ ﻫﺎﯼ ﮔﻔﺘﻪ ﺷﺪﻩ ،ﻧﻘﺎﻁ ﻣﺮﺑﻮﻁ ﺑﻪ ﻳﮏ ﭼﻬﺮﻩ ﺭﺍ ﺷﻨﺎﺳﺎﻳﯽ ﮐﻨﻴﺪ . ﻣﻮﻋﺪ ﺗﺤﻮﻳﻞ 18 ﺁﺫﺭ ﻣﺎﻩ 3ﺑﺪﻳﻦ ﺗﺮﺗﻴﺐ ﮐﻪ ﺑﺮﻧﺎﻣﻪ ﯼ ﺷﻤﺎ ﺑﺎﻳﺪ ﺗﻮﺍﻧﺎﻳﯽ ﺍﺳﺘﺨﺮﺍﺝ ﺍﻃﻼﻋﺎﺕ ﺍﺯ ﺍﻳﻦ ﺩﻭ ﻧﻮﻉ ﻓﺮﻣﺖ ﺭﺍ ﻧﻴﺰ ﺩﺍﺷﺘﻪ ﺑﺎﺷﺪ . 4ﻳﻌﻨﯽ ﺑﺎ ﺁﺯﻣﻮﻥ ﻭ ﺧﻄﺎ ﺑﻴﺎﺑﻴﺪ ﮐﻪ ﭼﻪ ﺣﺪﯼ ﺑﺮﺍﯼ w ﻗﺎﺩﺭ ﺑﻪ ﺗﻔﮑﻴﮏ ﺭﻧﮓ ﭘﻮﺳﺖ ﺧﻮﺍﻫﺪ ﺑﻮﺩ . 4
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